Matrix Elements of SU(6) Generators for Baryons at Arbitrary Nc

Abstract

We present explicit formulas for the matrix elements of the SU(6) generators for totally symmetric spin-flavor states, relevant for baryon spectroscopy in large Nc QCD. We rely on the interplay between two different methods to calculate these matrix elements. As an outcome, general analytic formulas of the corresponding SU(6) isoscalar factors are derived for arbitrary Nc. These results can be used to study excited states of nonstrange and strange baryons.

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